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New Ways of Thinking

Brian L. Silver

Published Feb 26, 1998• 0 citations
Publisher

Abstract

Abstract The way that Bohr treated the hydrogen atom was a mixture of concepts taken from classical physics, mixed with Planck’s idea of quantization and Einstein’s concept of photons. The theory did not survive; a far more serious break with classical physics was soon to come.
DOI
10.1093/oso/9780195116991.003.0029

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From a historical point of view, a distinction can be drawn between ‘old quantum theory’ and the full quantum theory that we now use. Old quantum theory was in essence a patchwork, cobbled together by incorporating some quantum ideas into essentially classical physics. The work of Planck, Einstein, Bohr, and Sommerfeld can be bracketed as old quantum theory. This classification is not meant to undermine the tremendous achievement that old quantum theory represents, but simply to underline its standing as a stage on the way to a fully formed quantum theory, which emerged from the work of Heisenberg, Schrodinger, Born, and Dirac. The development of the photon concept is a key example of a radically new idea gradually gaining acceptance. The process works via a growing realization that more and more things can be explained in the context of the photon model.
Introduction Quantum mechanics is based on the intuition that the essential difference between atomic physics and classical physics is the occurrence of discontinuities (see in particular [1,4,58–63]). Quantum mechanics should thus be considered a direct continuation of the quantum theory founded by Planck, Einstein and Bohr. Bohr in particular stressed repeatedly, already before the birth of quantum mechanics, that the discontinuities must lead to the introduction of new kinematical and mechanical concepts, so that indeed classical mechanics and its corresponding conceptual scheme should be abandoned [1,4]. Quantum mechanics tries to introduce the new concepts through a precise analysis of what is ‘observable in principle’. In fact, this does not mean setting up the principle that a sharp division between ‘observable’ and ‘unobservable’ quantities is possible and necessary. As soon as a conceptual scheme is given, one can infer from the observations to other facts that are actually not observable directly, and the boundary between ‘observable’ and ‘unobservable’ quantities becomes altogether indeterminate. But if the conceptual scheme itself is still unknown, it will be expedient to enquire only about the observations themselves, without drawing conclusions from them, because otherwise wrong concepts and prejudices taken over from before will block the way to recognising the physical relationships [Zusammenhänge].
The Schrödinger equation describes the basic physical models in a very contradictory way. And its canonization, which gives a catastrophic divergence of the energy of electronic levels with an increase in the mass of an atom, in principle, stalled the development of science. Nevertheless, it allowed, albeit roughly, to systematize and describe many phenomena of the microworld, primarily the hydrogen atom. And approximate descriptions of many “quantum” effects were obtained, but with the use of numerous adjustable parameters. So the bottom line from the century of development of quantum theory (QT) is, in fact, the development of some quantum mechanical methods.
Quantum theory has passed through three distinct stages during its evolution. The first is generally referred to as ‘old quantum theory’. During a period roughly between 1900 and 1925 Planck, Bohr and Einstein, among others, grappled with various experimental and theoretical crises by patching up classical mechanics with some new quantum ideas applied as band-aids. This is not to disparage the work; it was vitally important, and you can only do what is possible at the time. The quantum world is very different to the picture painted by classical physics. That being the case and given the extreme nature of some of these differences, we might question the wisdom of accepting the quantum view. Scientists can be quite disparaging about philosophy, sometimes while in the process of espousing, quite stridently, a philosophical position of their own. The chapter also presents an overview on the key concepts discussed in this book.
In this paper, the problems existing in the concepts of Planck's energy element and Einstein's light quantum are analyzed, and new concepts of quantum and electronic transition power are proposed. The new concept of quantum eliminates the inherent contradiction of the old quantum concept, and can explain the structure and spectral phenomena of hydrogen atom and photoelectric effect completely on the basis of classical physics without Bohr's "quantization hypothesis". The new concept of quantum breaks the gap between macro and micro, eliminates the contradiction between "classical physics" and "quantum mechanics", and lays an important foundation for the reconstruction of unified macro and micro physics.